2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75853We prove a uniform version of the Tits alternative. As a consequence, we obtain uniform lower bounds for the Cheeger constant of Cayley grahs of finitely generated non virtually solvable linear groups in arbitrary characteristic. Also we show that the algebraic entropy of discrete subgroups of a given Lie group is uniformly bounded away from zero.11 pages, annoucementGroup TheoryDifferential Geometry20Fxx; 53Cxxtext